Question

Select the polynomial that can be factored as (2x-5)^2

a 4x^2-25
b 4x^2-20x+25
c 4x^2-10x+25
d 4x^2-20x-25

Answer 1

d. 4x^2-20x-25

Explanation:

So, we have to multiply (2x-5) by itself. That gives:

(2x-5) (2x-5) = 2x (2x-5) - 5 (2x-5) = 4x² - 10x -10x + 25

so, the correct answer is 4x² - 20x + 25

It's just important to multiply each component carefully by using the distributive property.